Problem 6: An infinite sheet with uniform surface charge density of 10μcim² located at z = 0 and another infinite sheet of 10μcim² located at z = 10 cm. Determine the electric field every where.
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- In Figure 2, a sphere of radius r = 0.42 m carries a uniform volume charge density of rho = 2.3 × 10^-10 C/m^2. A spherical cavity of radius 0.21 m is then cut out and left empty as shown in the figure. Points A and C are the centers of the sphere and the spherical cavity, respectively. Find the magnitude and direction of the electric field at point B.Consider a very large, flat plate with surface charge density 3.46 nC/m2. Give the magnitude of the electric field (in N/C) a distance 7.54 m from the plate.In Figure 2, a sphere of radius r = 0.42 m carries a uniform volume charge density of rho = 2.3 × 10^-10 C/m^2. A spherical cavity of radius 0.21 m is then cut out and left empty as shown in the figure. Points A and C are the centers of the sphere and the spherical cavity, respectively. Find the magnitude and direction of the electric field at point A.
- The figure shows, in cross section, three infinitely large nonconducting sheets on which charge is uniformly spread. The surface charge densities are o1 = 3.67 µC/m2, 02 = 4.78 µC/m2, and oz = -4.21 µC/m², and distance L = 1.80 cm. What are the (a) x and (b) y components of the net electric field at point P? L/2 2LCharge of a uniform density (11 pC/m?) is distributed over the entire xy plane. A charge of uniform density (6 pC/m2) is distributed over the parallel plane defined by z = 2.0 m. Determine the magnitude of the electric field for any point with z = 3.0 m.A long straight wire has fixed negative charge with a linear charge density of magnitude 4.8 nC/m. The wire is to be enclosed by a coaxial, thin-walled, nonconducting cylindrical shell of radius 1.2 cm. The shell is to have positive charge on its outside surface with a surface charge densitys that makes the net external electric field is zero. Calculate s.
- A long hollow insulating cylinder has an inside radius a, outside radius b, and a uniform charge desity ρ. What is the electric field a distance r from the central axis? Give answers for r < a, a < r< b, and r > bA uniformly charged disk with radius R = 45.0 cm and uniform charge density & = 6.70 x 10-³ C/m² lies in the xy-plane, with its center at the origin. What is the electric field (in MN/C) due to the charged disk at the following locations? (a) z 5.00 cm (b) z = 10.0 cm (c) z = 50.0 cm (d) z = 200 cm MN/C MN/C MN/C MN/CFigure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are nonconducting and thin and have uniform surface charge densities on their outer surfaces. Figure (b) gives the radial component E of the electric field versus radial distancer from the common axis. The vertical axis scale is set by E, -4.5 x 10° N/C. What is the linear charge density of the shell? Number E r(cm) (A) Units 13.8
- A nonconducting wall carries charge with a uniform Q5 density of 8.60 µC/cm². (a) What is the electric field 7.00 cm in front of the wall if 7.00 cm is small comparedSections AB and CD of a thin non-conducting ring of radius R are uniformly (with constant linear density) charged with charge + q and −q, respectively. The points ABCD form the vertices of the square. Find the electric field in the center of the ring.A charge of uniform linear density 2.40 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 5.60 cm, outer radius = 9.20 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 14.8 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell? Gaussian cylinder Shell Rod- (a)